Nonstationary response near generic bifurcations

Nonlinear Dynamics

Volumn 10, Issue 3, 1996, Pages 235-250

  Davies, Huw G ^a   Krishna, Rangavajhula ^a  

^a UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

Generic bifurcations; Nonstationary

Indexed keywords

CONTROL SYSTEMS; LINEARIZATION; PHASE EQUILIBRIA; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; VIBRATIONS (MECHANICAL);

GENETIC BIFURCATION; NONSTATIONARY RESPONSE;

NONLINEAR SYSTEMS;

EID: 0030192984     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00045105     Document Type: Article

References (13)

1. Tram, M. H. and Evan-Iwanowski, R. M., 'Nonstationary responses of a self-excited driven system', International Journal of Non-Linear Mechanics 25, 1990, 285.
2. Moslehy, F. A. and Evan-Iwanowski, R. M., The effects of nonstationary processes on chaotic and regular responses of the Duffing oscillator', International Journal of Non-Linear Mechanics 26, 1991, 61.
3. Neal, H. L. and Nayfeh, A. H., 'Response of a SDF system to a nonstationary principal parametric excitation', International Journal of Non-Linear Mechanics 25, 1990, 275.
4. Neishtadt, A. I., 'Persistence of stability loss for dynamical systems', Differential Equations 23, 1988, 1385-1391.
5. Rosenblatt, S. and Cohen, D. S., 'Periodically perturbed bifurcation I', Studies in Applied Mathematics 63, 1980, 1.
6. Rosenblatt, S. and Cohen, D. S., 'Periodically perturbed bifurcation II', Studies in Applied Mathematics 64, 1981, 143.
7. Sri Namachchivaya, N. and Ariaratnam, S. T., 'Periodically perturbed Hopf bifurcation', SIAM Journal on Applied Mathematics, 47, 1987, 15.
8. Erneux, T. and Mandel, P., The slow passage through a steady bifurcation - delay and memory effects', Journal of Statistical Physics 5/6, 1979, 1059-1070.
9. Erneux, T. and Mandel, P., 'Imperfect bifurcation with a slowly-varying control parameter', SIAM Journal on Applied Mathematics 46(1), 1986, 1-15.
10. Davies, H. G. and Pan, R., 'Nonstationary oscillations about a simple bifurcation', Journal of Sound and Vibration 172(2), 1994, 155-170.
11. Thompson, J. M. T. and Stewart, H. B., Nonlinear Dynamics and Chaos, Wiley, 1986.
12. Guckenheimer, J. and Holmes, P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, 1983.
13. Abramowitz, M. and Stegun, I. A., 1968 Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Department of Commerce National Bureau of Standards, 1968.